The definition of tree-indexed Markov chains in random environment and their existence

Zhiyan Shi and Weiguo Yang

Communications in Statistics - Theory and Methods, 2017, vol. 46, issue 16, 7934-7941

Abstract: This paper gives the definition of tree-indexed Markov chains in random environment with discrete state space, and then studies some equivalent theorems of tree-indexed Markov chains in random environment. Finally, we give the equivalence on tree-indexed Markov chains in Markov environment and double Markov chains indexed by a tree.

Date: 2017
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DOI: 10.1080/03610926.2016.1167907

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